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Popular >

simplify (a^5c^2)(a^4c^6)

Solution

simplify

(a^{5} c^{2}) (a^{4} c^{6})

Solution

a^{9} c^{8}

Solution steps

(a^{5} c^{2}) (a^{4} c^{6})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{5} a^{4} = a^{5 + 4}

= c^{2} a^{5 + 4} c^{6}

Add the numbers:

5 + 4 = 9

= c^{2} a^{9} c^{6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

c^{2} c^{6} = c^{2 + 6}

= a^{9} c^{2 + 6}

Add the numbers:

2 + 6 = 8

= a^{9} c^{8}

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Frequently Asked Questions (FAQ)

What is (a^5c^2)(a^4c^6) ?
The solution to (a^5c^2)(a^4c^6) is a^9c^8